8226006420 has 72 divisors (see below), whose sum is σ = 23260408416. Its totient is φ = 2172136512.

The previous prime is 8226006401. The next prime is 8226006449. The reversal of 8226006420 is 246006228.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630079 + ... + 643001.

It is an arithmetic number, because the mean of its divisors is an integer number (323061228).

Almost surely, 2^8226006420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8226006420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11630204208).

8226006420 is an abundant number, since it is smaller than the sum of its proper divisors (15034401996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8226006420 is a wasteful number, since it uses less digits than its factorization.

8226006420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13141 (or 13036 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 8226006420 is about 90697.3341394332. The cubic root of 8226006420 is about 2018.6592432752.

The spelling of 8226006420 in words is "eight billion, two hundred twenty-six million, six thousand, four hundred twenty".